can't get out of wireframe mode
TL,DR:

In your screenshot, check Maximum Draw Type. You have it at Wire. Change it to Textured.

Long version

Max. Draw Type (as you have noticed) allows you to reduce the visualization quality at the object level.
It is useful to control the level of detail while you're editing your scene. Set objects you don't want to bother with to Wire or even Box, and keep those you want to see in full detail Textured.